If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.5 * 32x2 + 40x + 80 = 0 Multiply -0.5 * 32 -16x2 + 40x + 80 = 0 Reorder the terms: 80 + 40x + -16x2 = 0 Solving 80 + 40x + -16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(10 + 5x + -2x2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(10 + 5x + -2x2)' equal to zero and attempt to solve: Simplifying 10 + 5x + -2x2 = 0 Solving 10 + 5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -5 + -2.5x + x2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + -2.5x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + -2.5x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2.5x + x2 = 0 + 5 -2.5x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -2.5x + x2 = 5 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = 5 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = 5 + 1.5625 Combine like terms: 5 + 1.5625 = 6.5625 1.5625 + -2.5x + x2 = 6.5625 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (x + -1.25) equal to 2.561737691 and -2.561737691.Subproblem 1
x + -1.25 = 2.561737691 Simplifying x + -1.25 = 2.561737691 Reorder the terms: -1.25 + x = 2.561737691 Solving -1.25 + x = 2.561737691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = 2.561737691 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = 2.561737691 + 1.25 x = 2.561737691 + 1.25 Combine like terms: 2.561737691 + 1.25 = 3.811737691 x = 3.811737691 Simplifying x = 3.811737691Subproblem 2
x + -1.25 = -2.561737691 Simplifying x + -1.25 = -2.561737691 Reorder the terms: -1.25 + x = -2.561737691 Solving -1.25 + x = -2.561737691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = -2.561737691 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = -2.561737691 + 1.25 x = -2.561737691 + 1.25 Combine like terms: -2.561737691 + 1.25 = -1.311737691 x = -1.311737691 Simplifying x = -1.311737691Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.811737691, -1.311737691}Solution
x = {3.811737691, -1.311737691}
| 11.14/2x-100=0 | | 11,14x/2-100=0 | | x1/2(x1/2+x3/2) | | 3a+2b=46 | | 3x-2x+14+19=180 | | X-247=12x+127 | | -9x-222=90-x | | 3X+12=4X-6 | | 4/a=-2/9 | | 4p-p-p-p=2p | | 1/14=4x+1/7 | | 32x/45=285 | | (4w-5)(6-w)=0 | | What-what=115 | | -21=15y | | 5(2v+4)=176 | | -15=15y | | .8x=.48 | | x^4-3x^3-35x^2-15x-200=0 | | 5(x+5)=57x | | h=-16t^2+8t+120 | | -24X+40=-14 | | 115(a+0.065)=75 | | 3x+9=4x+11 | | 6y=-2x+2 | | a(3x+b)=byforx | | a(3x+b)=by | | 2x^2+9x+11=0 | | 78=-9x+-3(-56+12x) | | 25/8+x=5 | | 72x^2+12x=1200 | | X+18=3(2x-4) |